405598026960 has 480 divisors, whose sum is σ = 1584660480000. Its totient is φ = 91056835584.

The previous prime is 405598026917. The next prime is 405598026989. The reversal of 405598026960 is 69620895504.

It is a happy number.

405598026960 is a `hidden beast` number, since 4 + 0 + 559 + 8 + 0 + 26 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405598026897 and 405598026906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79231281 + ... + 79236399.

It is an arithmetic number, because the mean of its divisors is an integer number (3301376000).

Almost surely, 2^405598026960 is an apocalyptic number.

405598026960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405598026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792330240000).

405598026960 is an abundant number, since it is smaller than the sum of its proper divisors (1179062453040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405598026960 is a wasteful number, since it uses less digits than its factorization.

405598026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 405598026960 in words is "four hundred five billion, five hundred ninety-eight million, twenty-six thousand, nine hundred sixty".